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Finding the Third Proportional to 256,786 and 385,955

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Solution

The third proportional to 256,786 and 385,955 is: 580,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,786 : 385,955 = 385,955 : x
  2. Step 2: Convert to fraction form
    256,786/385,955 = 385,955/x
  3. Step 3: Cross multiply
    256,786x = 385,955 × 385,955
  4. Step 4: Simplify right side
    256,786x = 148,961,262,025
  5. Step 5: Solve for x
    x = 148,961,262,025/256,786
  6. Step 6: Final answer
    x = 580,098.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.